Do this question by electric flux A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5*10^(3) N/C and point…

Question

Do this question by electric flux

A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is
`1.5*10^(3)` N/C and points radially inwards what is the net charge on the sphere.

Answer 1

To find the net charge on the sphere using electric flux, we can use the formula:

Φ = Q/ε0

Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.

Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:

E = kQ/r^2

Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.

Substituting the given values, we get:

20 = (1/4πε0)(Q)/(0.2)^2

Solving for Q, we get:

Q = (20)(0.2)^2(4πε0)

Q = 0.64πε0 C

Now, substituting this value of Q in the formula for electric flux, we get: Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C

Therefore, the net charge on the sphere is 0.64π C.